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dc.contributor.author | Yatat Djeumen, Ivric Valaire![]() |
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dc.contributor.author | Dumont, Yves![]() |
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dc.contributor.author | Doizy, A.![]() |
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dc.contributor.author | Couteron, P.![]() |
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dc.date.accessioned | 2021-05-11T13:27:43Z | |
dc.date.available | 2021-05-11T13:27:43Z | |
dc.date.issued | 2021-01 | |
dc.description.abstract | We present and analyze a model aiming at recovering, as dynamical outcomes of fire-mediated tree–grass interactions, the wide range of vegetation physiognomies observable in the savanna biome along rainfall gradients at regional/continental scales. The model is based on two ordinary differential equations (ODE), for woody and grass biomass. It is parameterized from literature with respect to the African context and retains mathematical tractability, since we restricted it to the main processes, notably tree–grass asymmetric interactions (either facilitative or competitive) and the grass-fire feedback. We used a fully qualitative analysis to derive all possible long term dynamics and express them in a bifurcation diagram in relation to mean annual rainfall and fire frequency. We delineated domains of monostability (forest, grassland, savanna), of bistability (e.g. forest–grassland or forest–savanna) and even tristability. Notably, we highlighted regions in which two savanna equilibria may be jointly stable (possibly in addition to forest or grassland). We verified that common knowledge about decreasing woody biomass with increasing fire frequency is verified for all levels of rainfall, contrary to previous attempts using analogous ODE frameworks. Thus, our framework appears able to render more realistic and diversified outcomes than often thought of regarding ODE. Our model can help figure out the ongoing dynamics of savanna vegetation in large territories for which local data are sparse or absent. To explore the bifurcation diagram with different combinations of the model parameters, we have developed a user-friendly R-Shiny application freely available at : https://gitlab.com/cirad-apps/tree-grass. | en_ZA |
dc.description.department | Mathematics and Applied Mathematics | en_ZA |
dc.description.librarian | hj2021 | en_ZA |
dc.description.sponsorship | The DST/NRF SARChI Chair in Mathematical Models and Methods in Biosciences and Bioengineering at the University of Pretoria, South Africa, Nachtigal Hydropower Company, Cameroon, the European Union Agricultural Fund for Rural Development, the Conseil Régional de La Réunion, the Conseil Départemental de La Réunion, and by the Centre de Coopération internationale en Recherche Agronomique pour le Développement (CIRAD), France . | en_ZA |
dc.description.uri | http://www.elsevier.com/locate/ecolmodel | en_ZA |
dc.identifier.citation | Djeumen, I.V.Y., Dumont, Y., Doizy, A. et al. 2021, 'A minimalistic model of vegetation physiognomies in the savanna biome', Ecological Modelling, vol. 440, art. 109381, pp. 1-24. | en_ZA |
dc.identifier.issn | 0304-3800 (print) | |
dc.identifier.issn | 1872-7026 (online) | |
dc.identifier.other | 10.1016/j.ecolmodel.2020.109381 | |
dc.identifier.uri | http://hdl.handle.net/2263/79849 | |
dc.language.iso | en | en_ZA |
dc.publisher | Elsevier | en_ZA |
dc.rights | © 2020 Elsevier B.V. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Ecological Modelling. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. A definitive version was subsequently published in Ecological Modelling, vol. 440, art. 109381, pp. 1-24, 2021. doi : 10.1016/j.ecolmodel.2020.109381. | en_ZA |
dc.subject | Forest | en_ZA |
dc.subject | Savanna | en_ZA |
dc.subject | Grassland | en_ZA |
dc.subject | Mean annual rainfall | en_ZA |
dc.subject | Fires | en_ZA |
dc.subject | Ordinary differential equation (ODE) | en_ZA |
dc.subject | Alternative stable states | en_ZA |
dc.subject | Qualitative analysis | en_ZA |
dc.subject | Sensitivity analysis | en_ZA |
dc.subject | Bifurcation diagram | en_ZA |
dc.subject | R shiny app | en_ZA |
dc.title | A minimalistic model of vegetation physiognomies in the savanna biome | en_ZA |
dc.type | Preprint Article | en_ZA |